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Mathematics B - Edexcel

কোর্স ইন্সট্রাক্টর

Kazi Rafshan Hasin

MBA in Finance (DU), M.Sc in CSE (NSU), B.Sc in CSE (NSU)

কোর্সটি করে যা শিখবেন

Demonstrate knowledge, understanding and skills in number and algebra: numbers and the numbering system, calculations, solving numerical problems, equations, formulae and expressions, sequences, functions and graphs, matrices.
Demonstrate knowledge, understanding and skills in shape, space and measures: geometry, vectors and transformation geometry, trigonometry.

Demonstrate knowledge, understanding and skills in handling data: statistics, probability.

ক্লাস রুটিন

ডাউনলোড রুটিন

Modules	Lessons	Key Exercises
Module 1: Number	• The ordinary processes of number manipulation • Prime numbers, factors, multiples • Indices, powers, and roots • Simple manipulation of surds • Rationalizing the denominator where the denominator is a pure surd • Natural numbers, integers, rational and irrational numbers • Weights, measures and money • Fractions, decimals, ration, proportion and percentages • Expressing numbers to a given degree of accuracy • Numbers in standard form	TBA
Module 2: Sets	• The idea of a set • Set language and notation • Union and intersection of sets • Number of elements in a set • Complementary sets • Subsets • Universal set, null set • Venn diagrams and their use in a simple logical problem • Use of symbols to represent sets	TBA
Module 3: Algebra	• The basic processes of algebra • The construction, interpretation and use of formulae and their manipulation • The factorization of simple algebraic expressions • Use of the factor theorem for integer values of the variable • The manipulation of simple algebraic fractions, the denominators being numerical, linear or quadratic • Solution of equations of 1st and 2nd degree containing one unknown quantity • Solutions of linear simultaneous equations in two unknowns • Solution of linear inequalities, and the representations of solutions on the number line and two-dimensional space • The idea of a sequence	TBA
Module 4: Functions	• The idea of a function of a variable • Function as a mapping or as a correspondence between the elements of two sets • Use functional notations of the form f(x) and f:x • Domain and range of a function • Composite functions • Inverse functions • Variation, direct and indirect proportion • Rectangular cartesian coordinates • Graphs and graphical treatment of equations including quadratic, in which the constants are numerical and at least three of them are zero • The gradients of graphs by drawing • Differentiation of integer powers of x • Determination of gradients, rates of change, maxima and minima, stationary points • Applications to linear kinematics and to other simple practical problems	TBA
Module 5: Matrices	• Representation of data by a matrix • Addition and multiplication of matrices • Multiplication of a matrix by a scalar • Unit (identity) matrix and zero (null) matrix • Determinants and inverses of non-singular 2 x 2 matrices • Transformations of the plane associated with 2 x 2 matrices • Combination of transformations	TBA
Module 6: Geometry	• Geometrical properties of Euclidean space • Angle properties of parallel lines, triangles and polygons, including regular polygons • Properties of the parallelogram, rectangle, square, rhombus, trapezium and kite • Symmetry about a point, line or plane • Use of Pythagoras’ theorem in 2D and 3D • Similarity: areas and volumes of similar figures • Congruent shapes • Chord, angle and tangent properties of circles • Loci in 2 dimensions • Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line	TBA
Module 7: Mensuration	• Length, area, volume • Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle • Mensuration of the three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism • Length of an arc, area of a sector of a circle	TBA
Module 8: Vectors	• Scalar and vector quantities • Understand and use vector notation • Representation of a vector by a directed line segment • Parallel vectors, unit vectors • Sum and difference of two vectors • Modulus (magnitude) of a vector • Multiplication of a vector by a scalar • Find the resultant of two or more vectors • Apply vector methods to simple geometrical problems • Multiplication of a vector by a matrix	TBA
Module 9: Trigonometry	• Use of sine, cosine and tangent of angles up to 180 degrees • Solution of problems in 2 and 3 dimensions by calculation and by drawing • Angles of elevation and depression • Bearings	TBA
Module 10: Statistics and probability	• Graphical representation of numerical data • Determination of the mean, median and mode for a discrete data set • Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies • Determination of a modal class and the median for grouped data • Understand the language and basic concepts of probability • Use of addition rule for two or more mutually exclusive events • Use of product rule for two or more independent events • Determination of the probability of two or more independent events • Using simple conditional probability for combined events • Using very simple conditional probability	TBA

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